Normal-to-planar superfluid transition inHe<mml:mprescripts/><mml:none/>3

2003/12/15 by Martino De Prato, Andrea Pelissetto, Ettore Vicari
Environmental Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #Methane Hydrates and Related Phenomena #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1103/physrevb.70.214519

published as Phys.Rev. B70 (2004) 214519 · 19 pages, 4 figs

arxiv created 2003/12/15 · openalex publication_date 2004/12/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the nature of the ³He superfluid transition from the normal to the planar phase, which is expected to be stabilized by the dipolar interactions. We determine the renormalization group flow of the corresponding Landau--Ginzburg--Wilson theory by exploiting two fixed-dimension perturbative schemes: the massive zero-momentum scheme and the minimal-subtraction scheme without ϵ expansion. The analysis of the corresponding six-loop and five-loop series shows the presence of a stable fixed point in the relevant coupling region. Therefore, we predict the transition to be continuous. We also compute critical exponents. The specific-heat exponent \ensuremathα is estimated as \ensuremathα=0.20(15), while the magnetic susceptibility and magnetization exponents \ensuremathγ_H and \ensuremathβ_H for ³He are \ensuremathγ_H=\ensuremath-0.34(5), \ensuremathβ_H=1.07(9).

Citations

• Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors
• Critical thermodynamics of a three-dimensional chiral model forN>3
• Masses and phase structure in the Ginzburg-Landau model
• Nonperturbative renormalization-group approach to frustrated magnets
• Frustrated Heisenberg Magnets: A Nonperturbative Approach